Finding the Fourth Proportional to 2,128.39, 3,194.46 and 1,142.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.39 : 3,194.46 = 1,142.02 : x
2. Step 2: Convert to fraction form
   2,128.39/3,194.46 = 1,142.02/x
3. Step 3: Cross multiply
   2,128.39x = 3,194.46 × 1,142.02
4. Step 4: Simplify right side
   2,128.39x = 3,648,137.21
5. Step 5: Solve for x
   x = 3,648,137.21/2,128.39
6. Step 6: Final answer
   x = 1,714.04